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A308529 Number of length-n binary words having exactly one nontrivial palindrome prefix. 1
0, 2, 4, 10, 18, 34, 62, 118, 222, 432, 834, 1642, 3230, 6406, 12702, 25298, 50386, 100566, 200716, 401022, 801230, 1601654, 3201694, 6401784, 12800378, 25597578, 51188806, 102371284, 204729938, 409447272, 818869352, 1637713546, 3275376848, 6550703506, 13101306654, 26202513022, 52404825604, 104809450870, 209618501128, 419236601774 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A palindrome is nontrivial if it is of length at least 2.

LINKS

Table of n, a(n) for n=1..40.

EXAMPLE

For n = 4 the 10 solutions are 0010, 0011, 0100, 0101, 0110 and their binary complements.

CROSSREFS

Cf. A308528.

Sequence in context: A045955 A182248 A093695 * A320098 A320968 A279359

Adjacent sequences:  A308526 A308527 A308528 * A308530 A308531 A308532

KEYWORD

nonn

AUTHOR

Jeffrey Shallit, Jun 06 2019

EXTENSIONS

a(29)-a(40) from Bert Dobbelaere, Jun 15 2019

STATUS

approved

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Last modified August 3 13:49 EDT 2020. Contains 336198 sequences. (Running on oeis4.)